Question

Add 13 5/12 + (-4 11/12). reduce if possible


. Reduce, if possible.

10 1/3
18 1/3
8 1/2
-18 1/3

Answer 1

To solve \( 13 \frac{5}{12} + (-4 \frac{11}{12}) \), we'll first convert the mixed numbers into improper fractions.

1. Convert \( 13 \frac{5}{12} \) to an improper fraction:
\[
13 \frac{5}{12} = \frac{13 \times 12 + 5}{12} = \frac{156 + 5}{12} = \frac{161}{12}
\]

2. Convert \( -4 \frac{11}{12} \) to an improper fraction:
\[
-4 \frac{11}{12} = -\left(\frac{4 \times 12 + 11}{12}\right) = -\left(\frac{48 + 11}{12}\right) = -\left(\frac{59}{12}\right) = -\frac{59}{12}
\]

Now we can add the two fractions:
\[
\frac{161}{12} + \left(-\frac{59}{12}\right) = \frac{161 - 59}{12} = \frac{102}{12}
\]

Next, we simplify \( \frac{102}{12} \):
\[
\frac{102 \div 6}{12 \div 6} = \frac{17}{2}
\]

Now, convert \( \frac{17}{2} \) back to a mixed number:
\[
\frac{17}{2} = 8 \frac{1}{2}
\]

Thus, the result of \( 13 \frac{5}{12} + (-4 \frac{11}{12}) \) is \( 8 \frac{1}{2} \).

So, the final answer is:
**8 1/2**.